Dirichlet character χ4675(3034,⋅)\chi_{4675}(3034,\cdot)

• Label: 4675.3034
• Modulus: $4675$
• Conductor: $4675$
• Order: $40$
• Real: no
• Primitive: yes
• Minimal: yes
• Parity: even

Basic properties

Modulus:	$4675$
Conductor:	$4675$
Order:	$40$
Real:	no
Primitive:	yes
Minimal:	yes
Parity:	even

Galois orbit 4675.gx

$\chi_{4675}(9,\cdot)$ $\chi_{4675}(179,\cdot)$ $\chi_{4675}(444,\cdot)$ $\chi_{4675}(559,\cdot)$ $\chi_{4675}(729,\cdot)$ $\chi_{4675}(994,\cdot)$ $\chi_{4675}(1039,\cdot)$ $\chi_{4675}(1589,\cdot)$ $\chi_{4675}(2484,\cdot)$ $\chi_{4675}(2644,\cdot)$ $\chi_{4675}(2654,\cdot)$ $\chi_{4675}(3034,\cdot)$ $\chi_{4675}(3194,\cdot)$ $\chi_{4675}(3204,\cdot)$ $\chi_{4675}(3239,\cdot)$ $\chi_{4675}(3789,\cdot)$

Related number fields

Field of values:	$\Q(\zeta_{40})$
Fixed field:	Number field defined by a degree 40 polynomial

Values on generators

$(4302,3401,3301)$ → $(e\left(\frac{7}{10}\right),e\left(\frac{3}{5}\right),e\left(\frac{5}{8}\right))$

First values

$a$	$-1$	$1$	$2$	$3$	$4$	$6$	$7$	$8$	$9$	$12$	$13$	$14$
$\chi_{ 4675 }(3034, a)$	$1$	$1$	$e\left(\frac{1}{20}\right)$	$e\left(\frac{13}{40}\right)$	$e\left(\frac{1}{10}\right)$	$e\left(\frac{3}{8}\right)$	$e\left(\frac{23}{40}\right)$	$e\left(\frac{3}{20}\right)$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{17}{40}\right)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{5}{8}\right)$